Base | Representation |
---|---|
bin | 111100111011000… |
… | …110000011000000 |
3 | 2122020022021211202 |
4 | 330323012003000 |
5 | 4043130433344 |
6 | 245231400332 |
7 | 34220625002 |
oct | 7473060300 |
9 | 2566267752 |
10 | 1022124224 |
11 | 484a65070 |
12 | 2463830a8 |
13 | 1339b5444 |
14 | 99a6a372 |
15 | 5eb0194e |
hex | 3cec60c0 |
1022124224 has 56 divisors (see below), whose sum is σ = 2216341008. Its totient is φ = 463831040.
The previous prime is 1022124221. The next prime is 1022124251. The reversal of 1022124224 is 4224212201.
It is a junction number, because it is equal to n+sod(n) for n = 1022124196 and 1022124205.
It is not an unprimeable number, because it can be changed into a prime (1022124221) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 839264 + ... + 840480.
It is an arithmetic number, because the mean of its divisors is an integer number (39577518).
Almost surely, 21022124224 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1022124224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108170504).
1022124224 is an abundant number, since it is smaller than the sum of its proper divisors (1194216784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1022124224 is a wasteful number, since it uses less digits than its factorization.
1022124224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2433 (or 2423 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 20.
The square root of 1022124224 is about 31970.6775655443. The cubic root of 1022124224 is about 1007.3210133022.
Adding to 1022124224 its reverse (4224212201), we get a palindrome (5246336425).
The spelling of 1022124224 in words is "one billion, twenty-two million, one hundred twenty-four thousand, two hundred twenty-four".
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